1.3 Piecewise Functions

Which piecewise function corresponds to this graph? (Take your time)

• f(x) = { x  if x < 4;   -x+1  if x ≥ 4
• f(x) = { x  if x ≤ 4;  -x+1  if x > 4
• f(x) = { -x+1  if x < 4;  x  if x ≥ 4
• f(x) = { -x+1  if x ≤ 4;  x if x > 4

Match the graph with the correct equation.

• 
• 
• 
• 

Find f(2)

• f(2) = 0

• f(2) = 1

• f(2) = 3

• f(2) = 4

A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.

How much does he earn for a 70 hour week?

• $1020

• $1140

• $840

• He works for free!

What is f(6)?

• 20
• 33
• 3
• 3, -3

Which "piece" of the function would you use to evaluate the piecewise function for  $f\left(-4\right).$  

• $-2x+1$

• $5x-4$

Evaluate the piecewise function for  $f\left(8\right)$  . 

Evaluate the piecewise function for  $f\left(0\right)$   . Type only the number in the answer.